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Day 479: JEE Mains Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Statistics. Asked once: 28 Jun 2022

    172
    Suppose a class has 7 students. The average marks of these students in the mathematics examination is 62, and their variance is 20. A student fails in the examination if he/she gets less than 50 marks, then in worst case, the number of students can fail is

  2. Question 2

    Straight Lines. Asked once: 7 Apr 2025

    70
    Let ABC be the triangle such that the equations of lines AB and AC be 3y−x=23y - x = 2 and x+y=2x + y = 2, respectively, and the points B and C lie on x -axis. If PP is the orthocentre of the triangle ABCABC, then the area of the triangle PBC is equal to.

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  3. Question 3

    Three Dimensional Geometry. Asked once: 29 Jan 2024

    153
    Let P(3,2,3),Q(4,6,2)P(3,2,3),Q(4,6,2) and R(7,3,2)R(7,3,2) be the vertices of △PQR\bigtriangleup PQR. Then, the angle ∠QPR\angle QPR is

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  4. Question 4

    Trigonometric Equations. Asked once: 28 Jul 2022

    177
    Let S=[−π,π2)−{−π2,−π4,−3π4,π4}S=\left\lbrack -\pi,\frac{\pi}{2} \right)-\left\{ -\frac{\pi}{2}, -\frac{\pi}{4}, -\frac{3\pi}{4},\frac{\pi}{4} \right\}. Then the number of elements in the set A={θ∈S:tan⁡θ(1+5tan⁡(2θ))=5−tan⁡(2θ)}A = \{\theta\in S:\tan\theta(1 +\sqrt{5}\tan(2\theta)) =\sqrt{5}- \tan(2\theta)\} is

  5. Question 5

    Trigonometric Identities. Asked once: 23 Jan 2025

    137
    Let the range of the function f(x)=6+16cos⁡x⋅cos⁡(π3−x)⋅cos⁡(π3+x)⋅sin⁡3x⋅cos⁡6x, x∈Rf(x) = 6 + 16\cos x \cdot \cos\left( \frac{\pi}{3}- x \right)\cdot \cos\left( \frac{\pi}{3}+ x \right) \cdot \sin3x \cdot \cos6x,\ x \in R be [α,β]\lbrack\alpha,\beta\rbrack. Then the distance of the point (α,β)(\alpha,\beta) from the line 3x+4y+12=03x + 4y + 12 = 0 is :

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